17 citations · 24 across the 2 of their papers we have counts for
2 papers
math.DS2016★ 17 cited
The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
Alberto Abbondandolo, Luca Asselle, Gabriele Benedetti +2
We consider magnetic Tonelli Hamiltonian systems on the cotangent bundle of the 2-sphere, where the magnetic form is not necessarily exact. It is known that, on very low and on hig…
math.DG2014★ 7 cited
Isometry-invariant geodesics and the fundamental group
Marco Mazzucchelli
We prove that on closed Riemannian manifolds with infinite abelian, but not cyclic, fundamental group, any isometry that is homotopic to the identity possesses infinitely many inva…